A shop had 800 novels. There were English, Malay and Chinese novels in the ratio of 1 : 4 : 5. When the shop assistant brought in another 256 new novels, the number of English novels was increased by 20% and the number of Malay novels was increased by
12.
- What was the number of Chinese novels that the shop assistant brought in?
- What was the percentage increase in the number of Chinese novels?
|
English |
Malay |
Chinese |
Total |
Before |
1 u |
4 u |
5 u |
800 |
Change |
+ 0.2 u |
+ 2 u |
+ ? |
+ 256 |
After |
1.2 u |
6 u |
6 u |
1056 |
Increase in the number of English novels
= 20% x 1 u
=
20100 x 1 u
= 0.2 u
Increase in the number of Malay novels
=
12 x 4 u
= 2 u
Total number of novels at first
= 1 u + 4 u + 5 u
= 10 u
10 u = 800
1 u = 800 ÷ 10 = 80
Increase in the number of English and Malay novels
= 0.2 u + 2 u
= 2.2 u
= 2.2 x 80
= 176
Number of Chinese novels brought in
= 256 - 176
= 80
(b)
Number of Chinese novels at first
= 5 u
= 5 x 80
= 400
Percentage increase in Chinese novels
=
80400 x 100%
= 20%
Answer(s): (a) 80; (b) 20%